Suppose the county has 40% registered Mugwump voters. Furthermore, various surveys over the years have shown that in that county 90% of registered Mugwumps usually do vote for the Mugwump candidate. The Mugwump candidate for Governor is popular and (based on various polls) is even expected to get 30% of those voters who are not registered Mugwumps. On election day a voter after exiting the voting booth says (truthfully) that she has voted for the Mugwump candidate. What is the probability that she is a registered Mugwump?

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions